F.2d 246, 255 (2d Cir.1984) (“once we have taken jurisdiction over one issue in a case, we may, in our discretion, consider otherwise nonappealable issues in the case as well, where ‘[tjhere is sufficient overlap in the factors relevant to [the appealable and nonappealable] issues to warrant our exercising plenary authority over [the] appeal’ ”) (quoting Sanders v. Levy, 558 F.2d 686, 643 (2d Cir.1976), rev’d on other grounds sub nom. Oppenheimer Fund, Inc. v. Sanders, 437 U.S. 340, 98 S.Ct. 2380, 57 L.Ed.2d 253 (1978)), cert. denied, 470 U.S. 1035, 105 S.Ct. 1408, 84 L.Ed.2d 797 (1985). Given the close relationship between the collateral estoppel issue, i.e., whether Golino had an adequate opportunity to contest the existence of probable cause, and the merits of the probable cause issues, we will exercise our discretion in this case to review the district court’s ruling that there exist material questions of fact as to the existence of probable cause and the objective reasonableness of any belief on the part of appellants that there existed probable cause.
B. The Collateral Estoppel Argument
Pursuant to 28 U.S.C. § 1738 (1988), the federal courts “must give to a state-court judgment the same preclusive effect as would be given that judgment under the law of the State in which the judgment was rendered.” Migra v. Warren City School District Board of Education, 465 U.S. 75, 81, 104 S.Ct. 892, 896, 79 L.Ed.2d 56 (1984). This rule applies to determine the preclusive effect of a state court judgment on a subsequent suit in federal court brought pursuant to § 1983. See Allen v. McCurry, 449 U.S. 90, 101 S.Ct. 411, 66 L.Ed.2d 308 (1980); Temple of the Lost Sheep, Inc. v. Abrams, 930 F.2d 178, 183 (2d Cir.), cert. denied, — U.S. -, 112 S.Ct. 193, 116 L.Ed.2d 153 (1991). Nonetheless, “[cjollat-eral estoppel does not apply where the party against whom an earlier court decision is asserted did not have a full and fair opportunity to litigate the claim or issue decided by the first court.” Allen v. McCurry, 449 U.S. at 101, 101 S.Ct. at 418.
Under Connecticut law, “ ‘[f]or an issue to be subject to collateral estoppel, [1] it must have been fully and fairly litigated in the first action. [2] It also must have been actually decided and [3] the decision must have been necessary to the judgment.’ ” Aetna Casualty and Surety Co. v. Jones, 220 Conn. 285, 296, 596 A.2d 414, 421 (1991) (quoting Virgo v. Lyons, 209 Conn. 497, 501, 551 A.2d 1243, 1245 (1988)); P.X. Restaurant, Inc. v. Town of Windsor, 189 Conn. 153, 454 A.2d 1258, 1262 (1983). As to the first condition, the only one of the three at issue here, the Connecticut Supreme Court has explained that “[t]he requirement of full and fair litigation ensures fairness, which is a ‘crowning consideration’ in collateral estoppel cases.” Aetna Casualty and Surety Co. v. Jones, 220 Conn. at 306, 596 A.2d at 425. Thus, “if the nature of the hearing carries procedural limitations that would not be present at a later hearing, the party might not have a full and fair opportunity to litigate.” Id. at 306, 596 A.2d at 426; see also Bailey v. Andrews, 811 F.2d 366, 370 (7th Cir.1987) (finding of probable cause in state-court hearing, at which suspect was not allowed to present evidence or cross-examine witnesses, not given preclusive effect in subsequent § 1983 suit); Coogan v. City of Wixom, 820 F.2d 170, 175 (6th Cir.1987) (state-court finding of probable cause given pre-clusive effect in subsequent § 1983 suit because prior proceeding, at which suspect had a right to call witnesses and cross-examine witnesses, afforded him a full and fair opportunity to litigate the issue of probable cause).
We think the district court was correct in its assessment that, for collateral estoppel purposes, the 1984 state hearing entailed procedural limitations that curtailed Golino’s efforts to secure the full and fair litigation of the probable cause issue. The purpose of such a hearing is generally the evaluation of the “sufficiency” of the evidence to constitute probable cause, not the “integrity” of the evidence. See, e.g., Schertz v. Waupaca County, 875 F.2d 578, 581 (7th Cir.1989); Bailey v. Andrews, 811 F.2d at 369-70. Thus, at such a hearing under Connecticut law, the suspect apparently has no right to call any witnesses or